Reachability index of the positive 2D general models

• Autorzy: Kaczorek T.
• Języki publikacji: EN

Abstrakty

EN

It is shown that 2(n + 1) is the upper bound for the reachabiIity index of the n-order positive 2D general models.

Słowa kluczowe

EN

reachability index; positive 2D general model; upper bound

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2004
• Tom: Vol. 52, nr 1
• Strony: 79--81
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Kaczorek T.

• Institute of Control and Industrial Electronics, Warsaw University of Technology, 75 Koszykowa St., 00-662 Warszawa, Poland

Bibliografia

• [1] L. Farina and S. Rinaldi, Positive Linear Systems. Theory and Applications, New York: Wiley, 2000.
• [2] E. Fornasini and G. Marchesini, “Doubly indexed dynamical systems”, Math. Sys. Theory 12, 59–72 (1978).
• [3] E. Fornasini and M. E. Valcher, “On the spectral and combinatorial structure of 2D positive systems”, Lin. Alg. & Appl., 245, 223–258 (1996).
• [4] E. Fornasini and M. E. Valcher, “Primitivity of positive matrix pairs: algebraic characterization, graph-theoretic description, 2D systems interpretation”, SIAM J. Matrix Analysis & Appl., 19 (1), 71–88 (1998).
• [5] E. Fornasini and M. E. Valcher, “On the positive reachability of 2D positive systems”, Positive Systems LNCIS 294, 297–304 (2003).
• [6] J. Klamka, “Constrained controllability of positive 2-D systems”, Bull. Pol. Ac.: Tech. 46(1), 95–104 (1998).
• [7] J. Klamka, “Controllability of 2-D systems: a survey”, Appl. Math. and Comp. Sci. 7(4), 101–120 (1997).
• [8] M. E. Valcher and E. Fornasini, “State models and asymptotic behaviour of 2D positive systems”, IMA J. Math. Control and Information 12, 17–36 (1995).
• [9] M. E. Valcher, “On the internal stability and asymptotic behavior of 2-D positive systems”, IEEE Trans. Circ. and Syst. 44(7), 602–613 (1997).
• [10] T. Kaczorek, Positive 1D and 2D systems, Berlin: Springer-Verlag, 2002.
• [11] J. Klamka, Controllability of Dynamical Systems, Dordrecht: Kluwer Academic Publ., 1991.